Answered: According to USPS study, the weights of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to USPS study, the weights of shipment packages are normally distributed with a mean of 20.7 oz and a standard deviation of 4 oz. Let X be the weight of a randomly selected package.

1. Describe the probability distribution of X and state its parameters μ and σ:

X ~ Correct ( μ= , σ= )

2. Find the probability that the weight of a randomly selected package is

less than 13 oz. (Round the answer to 4 decimal places)
between 16 and 24 oz. (Round the answer to 4 decimal places)
more than 27 oz. (Round the answer to 4 decimal places)

3. Find the 80-th percentile for the weights of shipment packages. oz (Round the answer to 1 decimal place)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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